"But in the weird world of quantum physics, the state of the electron is not just high or low but a weighted combination of the two: what physicists call a "superposition" of classical states."

"According to the theory of quantum mechanics, the act of observing a quantum state jars it out of its delicate superposition, collapsing it into a classical state with probability that's the square of the amplitude of the classical state."

"Quantum algorithms make use of the elusive phenomenon known as quantum entanglement, mysterious correlations between particles that cannot be explained by classical physics."

While statements like these are commonplace in discussions of quantum mechanics, I fear they are due to illogical thinking on the part of many physicists. They are not forced upon us by an impartial evaluation of the experimental evidence, but rather are the result of the philosophical biases of Bohr and his followers.

Bohmian mechanics is a theory that dispenses with all the philosophical baggage of traditional quantum mechanics. It provides a clear, logical, and precise, albeit nonclassical, description and ontology of the (nonrelativistic) world. Not only does it agree with the experimental evidence, but it is an antidote to the muddle of traditional explanations of quantum mechanics. For these reasons, mathematicians should find it particularly appealing.